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Finding the Fourth Proportional to 19,640.10, 27,103.59 and 10,687.86

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Solution

The fourth proportional to 19,640.10, 27,103.59 and 10,687.86 is: 14,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.10 : 27,103.59 = 10,687.86 : x
  2. Step 2: Convert to fraction form
    19,640.10/27,103.59 = 10,687.86/x
  3. Step 3: Cross multiply
    19,640.10x = 27,103.59 × 10,687.86
  4. Step 4: Simplify right side
    19,640.10x = 289,679,375.42
  5. Step 5: Solve for x
    x = 289,679,375.42/19,640.10
  6. Step 6: Final answer
    x = 14,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.